Phase transition of the two-dimensional Ising model

Constantino Tsallis

H Ulman, M Athematics J Ournal

Christopher J. Monahan, Axel Klomparens

The Ising model serves as a model for magnetic phase transitions and as a testing ground for the study of strongly-coupled systems. The model is exactly solvable in two dimensions and can be simulated with relatively small computing resources. We investigate the phase transition of the Ising model through a novel scaling procedure first proposed to explore the phase structure of a theory with four $SU(2)$ doublet fermions in Butt et al.~(PRL 134, 2025, 031602). We present a numerical validation of this scaling procedure by demonstrating that the procedure aligns with the known properties of the two-dimensional Ising model.

Valeriy A Ryabov

Min Zhao

We have investigated the phase transition of two-dimensional Ising model by Monte Carlo method.Our results reveal that a finite-temperature phase transition occurs in the Ising model.The calculation result agrees well with the theoretical one.The specific heat and the susceptibility peak at the critical temperature while they descend at both high and low temperature.The spontaneous magnetization approaches to unit when the temperature is below the critical temperature.

Fa Yueh Wu